Research Article
Parallel Rayleigh Quotient Optimization with FSAI-Based Preconditioning
Table 2
Number of iterations, timings, and scalability indices for FSAI-DACG in the computation of the 10 leftmost eigenpairs of the four test problems.
| | | iter | | | | | |
| FAULT-639 | 4 | 4448 | 25.9 | 261.4 | 287.3 | | | 8 | 4448 | 13.2 | 139.0 | 152.2 | 7.6 | 0.94 | 16 | 4448 | 6.6 | 69.4 | 76.0 | 15.1 | 0.95 | 32 | 4448 | 4.0 | 28.2 | 32.2 | 35.7 | 1.11 | 64 | 4448 | 1.9 | 15.5 | 17.4 | 66.1 | 1.03 | 128 | 4448 | 1.1 | 9.4 | 10.5 | 109.0 | 0.85 |
| PO-878 | 4 | 5876 | 48.1 | 722.5 | 770.6 | | | 8 | 5876 | 25.2 | 399.8 | 425.0 | 7.3 | 0.91 | 16 | 5876 | 11.4 | 130.2 | 141.6 | 21.8 | 1.36 | 32 | 5876 | 6.8 | 65.8 | 72.5 | 42.5 | 1.33 | 64 | 5876 | 4.1 | 30.1 | 34.1 | 90.3 | 1.41 | 128 | 5876 | 1.9 | 19.1 | 21.0 | 146.8 | 1.15 |
| GEO-1437 | 4 | 6216 | 90.3 | 901.5 | 991.7 | | | 8 | 6216 | 47.5 | 478.9 | 526.4 | 7.5 | 0.94 | 16 | 6216 | 24.7 | 239.4 | 264.1 | 15.0 | 0.94 | 32 | 6216 | 13.6 | 121.0 | 134.6 | 29.5 | 0.92 | 64 | 6216 | 8.2 | 60.9 | 69.1 | 57.4 | 0.90 | 128 | 6216 | 4.2 | 29.5 | 33.8 | 117.5 | 0.92 | 256 | 6216 | 2.3 | 19.1 | 21.4 | 185.4 | 0.72 |
| | | iter | | | | | |
| CUBE-6091 | 16 | 15796 | 121.5 | 2624.8 | 2746.2 | | | 32 | 15796 | 62.2 | 1343.8 | 1406.0 | 31.3 | 0.98 | 64 | 15796 | 32.5 | 737.0 | 769.5 | 57.1 | 0.89 | 128 | 15796 | 17.3 | 388.4 | 405.7 | 108.3 | 0.85 | 256 | 15796 | 9.1 | 183.9 | 192.9 | 227.8 | 0.89 | 512 | 15796 | 5.7 | 106.0 | 111.7 | 393.5 | 0.77 | 1024 | 15796 | 3.8 | 76.6 | 80.4 | 546.6 | 0.53 |
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